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Finding the Fourth Proportional to 379,205.22, 568,892.57 and 142,549.95

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Solution

The fourth proportional to 379,205.22, 568,892.57 and 142,549.95 is: 213,856.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,205.22 : 568,892.57 = 142,549.95 : x
  2. Step 2: Convert to fraction form
    379,205.22/568,892.57 = 142,549.95/x
  3. Step 3: Cross multiply
    379,205.22x = 568,892.57 × 142,549.95
  4. Step 4: Simplify right side
    379,205.22x = 81,095,607,408.87
  5. Step 5: Solve for x
    x = 81,095,607,408.87/379,205.22
  6. Step 6: Final answer
    x = 213,856.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.